121972320 has 144 divisors (see below), whose sum is σ = 422446752. Its totient is φ = 32040960.

The previous prime is 121972309. The next prime is 121972327. The reversal of 121972320 is 23279121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121972327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101644 + ... + 102836.

It is an arithmetic number, because the mean of its divisors is an integer number (2933658).

Almost surely, 2^121972320 is an apocalyptic number.

121972320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211223376).

121972320 is an abundant number, since it is smaller than the sum of its proper divisors (300474432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121972320 is a wasteful number, since it uses less digits than its factorization.

121972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 121972320 is about 11044.1079313813. The cubic root of 121972320 is about 495.9300543060.

The spelling of 121972320 in words is "one hundred twenty-one million, nine hundred seventy-two thousand, three hundred twenty".